Could someone please explain (or give me some examples or the process) on why are these conditions necessary for the termination of the instance resolution process in Haskell? Or at least a link where ...

Occasionally when writing programs in a statically typed language, e.g. some ML, I find having to write code for cases I know will not happen. This is because I know e.g. that a function on some data-...

Chapter 10 of Advanced Topics in Types and Programming Languages; gives a very comprehensive description of type inference by constraints solving.
They introduce the free program indentifiers of an ...

I have a vague understanding what formal verification is about, a vague understanding of what the cutting edge is of type theory for programming languages, and a better understanding of formal proofs.
...

ASDL stands for Abstract Syntax Description Language (ASDL), whereby ADT stands for Algebraic data type.
By looking at Python.asdl it appears to me to be the same thingy, just with different names, ...

Background
I have several F# codebases with reasonably high level of complexity of code. In order to convince myself that the code is solid I do whatever I can to write as much of it as possible type-...

I asked before for references about pure type systems and let-expression, but I did not get any response with implementation details. Reading the literature I have concluded that this is the way to ...

I have a problem in a book I am trying to accomplish.
I understand the overall type of the expression is boolean and how it derives. (y * x) will be rule 4 (counting from top right). (y * x) + x when ...

So I am currently going though the HoTT book with some people. I made the claim that most inductive types we will see can be reduced to types containing only dependent function types and universes by ...

Are there any type systems similar to rust that don't depend on subtyping ? Can we express that one value must be consumed or dropped before another? For instance if I had an array of huge values on ...

I'm creating a semantic analyzer with type inference. For the basics I've got a type variable and a type construct with name and a list of types.
I want to support overloading and I know that Haskell ...

So, I'm familiar with two main strategies of having higher-ranked polymorphism in a language:
System-F style polymorphism, where functions are explicitly typed, and instantiation happens explicitly ...

Yo! This is probably a stupid question, however I've never seen it written down explicitly if, for instance, decidability of type-checking is equivalent to the strong normalization property. Therefore ...

I've seen scattered references to typed assembly in high assurance literature, but I don't really understand the advantage.
If the compiler/runtime are capable of passing the types down to the CPU, ...

In the presence of subtyping, a type checker can usually infer only some inequality constraints on the type rather than the exact type. Of course, internally it will store the full constraints. But ...

I was doing a type checking example in system f sub on paper to understand how it works.
according to Pierce's book Types and Programming Languages, numbers and their types are following in system f ...

I understand that adding the annotations (dependent typing) may cause the type checking of the programming language to become undecidable.
What about type inference ?
Whether type checking and type ...

I am going over the proofs for the simply typed lambda calculus in the book "Types and Programming languages" by Benjamin Pierce. I am trying to find inspiration for the similar proofs for System F ...

With a dependent type system in a normal functional language type checking may never halt. This is partially because dependent typing removes the isolation between types, and code. My question is this:...

I am trying to understand static vs dynamic typing, but am really struggling to see how everything fits together.
It all starts with data types. As far as I understand, data types are quite abstract ...

I have been reading the paper[1] in the title. But there are some parts of it that are unclear to me, more specifically the way you typecheck a lambda. I have attached the typing rules below as images[...